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Finding the Third Proportional to 86,683 and 129,673.50

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Solution

The third proportional to 86,683 and 129,673.50 is: 193,985.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,683 : 129,673.50 = 129,673.50 : x
  2. Step 2: Convert to fraction form
    86,683/129,673.50 = 129,673.50/x
  3. Step 3: Cross multiply
    86,683x = 129,673.50 × 129,673.50
  4. Step 4: Simplify right side
    86,683x = 16,815,216,602.25
  5. Step 5: Solve for x
    x = 16,815,216,602.25/86,683
  6. Step 6: Final answer
    x = 193,985.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.